Peer-reviewed: published or accepted for publishing
Costeri, B., Dappiaggi, C., Juárez-Aubry, B.A., Singh, R.D. (2026). The Hadamard parametrix on half-Minkowski with Robin boundary conditions: Fundamental solutions and Hadamard states. Annales Henri Poincaré. https://doi.org/10.1007/s00023-026-01702-2
Capoferri, M., Costeri, B., Dappiaggi, C. (2026). Spectral Asymmetry via Pseudodifferential Projections: the massless Dirac operator. Analysis and Mathematical Physics 16, 74. https://doi.org/10.1007/s13324-026-01210-w
Costeri, B., Dappiaggi, C., Goi, M. (2025). Conservation Law and Trace Anomaly for the Stress-Energy Tensor of a Self-Interacting Scalar Field. Annales Henri Poincaré 27, 1843–1884. https://doi.org/10.1007/s00023-025-01580-0
Bonicelli, A., Costeri, B., Dappiaggi, C., Rinaldi, P. (2024). A microlocal investigation of stochastic partial differential equations for spinors with an application to the Thirring model. Mathematical Physics, Analysis and Geometry 27, 16. https://doi.org/10.1007/s11040-024-09488-7
Costeri, B., Dappiaggi, C. (2024). An Invitation to Quantum Field Theory and to Its Interplay with Microlocal Analysis and PDEs. International Conference on Analysis, PDEs and Applications (pp. 13-21). Cham: Springer Nature Switzerland. https://doi.org/10.1007/978-3-031-89463-3_2 (conference proceeding).
Submitted manuscripts with Peer-review
Costeri, B., Dappiaggi, C., Juárez-Aubry, B.A. (2026). The Hadamard Parametrix on Globally Hyperbolic Spacetimes with Robin Boundary Conditions: Fundamental Solutions and Hadamard States. arXiv:2609.24465 [math-ph]
Costeri, B.(2026). A perturbative approach to the Wetterich equation for Bosonic and Fermionic interacting fields. Submitted to Reviews in Mathematical Physics. arXiv:2605.22436 [math-ph]. https://doi.org/10.48550/arXiv.2605.22436
Costeri, B., Dappiaggi, C., Rinaldi, P., Savasta, M. (2026). Schauder estimates for germs of distributions on smooth manifolds. Submitted to Journal of Mathematical Analysis and Applications. arXiv: 2602.19593 [math-ph], https://doi.org/10.48550/arXiv.2602.19593